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Finding the Fourth Proportional to 4,206.70, 6,308.83 and 1,609.03

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Solution

The fourth proportional to 4,206.70, 6,308.83 and 1,609.03 is: 2,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.70 : 6,308.83 = 1,609.03 : x
  2. Step 2: Convert to fraction form
    4,206.70/6,308.83 = 1,609.03/x
  3. Step 3: Cross multiply
    4,206.70x = 6,308.83 × 1,609.03
  4. Step 4: Simplify right side
    4,206.70x = 10,151,096.73
  5. Step 5: Solve for x
    x = 10,151,096.73/4,206.70
  6. Step 6: Final answer
    x = 2,413.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.